Finite difference approximation for parabolic interface problem with time-dependent coefficients | Zendy

Bratislav Sredojević | Zendy; Dejan Bojović | Zendy

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Finite difference approximation for parabolic interface problem with time-dependent coefficients

Author(s) -

Bratislav Sredojević,

Dejan Bojović

Publication year - 2016

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1613067s

Subject(s) - sobolev space , mathematics , mathematical analysis , smoothness , norm (philosophy) , boundary value problem , convergence (economics) , heat equation , rate of convergence , parabolic partial differential equation , finite difference , partial differential equation , channel (broadcasting) , electrical engineering , engineering , political science , law , economics , economic growth

The convergence of difference scheme for two-dimensional initial boundary value problem for the heat equation with concentrated capacity and time-dependent coefficients of the space derivatives, is considered. An estimate of the rate of convergence in a special discrete W~12,1/2 Sobolev norm, compatible with the smoothness of the coefficients and solution, is proved. [Projekat Ministarstva nauke Republike Srbije, br. 174002]

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